Heritage - natural and cultural, material and immaterial -plays a key role in the development of sustainable cities and communities. Goal 11, target 4, of the Sustainable Development Goals (SDGs) emphasizes the relation between heritage and sustainability. The International LDE Heritage conference on Heritage and Sustainable Development Goals, which took place from 26 to 28 November 2019 at TU Delft in the Netherlands, examined the theories, methodologies, and practices of heritage and SDGs. It asked: How is heritage produced and defined? By whom and in what contexts? What are the conceptions of sustainability, and in what ways are these situational and contextual? How can theoretical findings on heritage and SDGs engage with heritage practice? The conference built on the multidisciplinary expertise of academics in the humanities, social, and spatial sciences, notably the interdisciplinary crossover research program, Design & History, the new theme of Heritage Futures at TU Delft, on active collaboration within the LDE Center for Global Heritage and Development (CGHD), and on heritage-related research conducted by the three partner universities Leiden, Delft and Erasmus in Rotterdam by further associated partners in the consortium and internationally